10002000001021 has 16 divisors (see below), whose sum is σ = 11609392359168. Its totient is φ = 8439606806400.

The previous prime is 10002000001001. The next prime is 10002000001031. The reversal of 10002000001021 is 12010000020001.

It is not a de Polignac number, because 10002000001021 - 2⁵ = 10002000000989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002000000995 and 10002000001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14894440 + ... + 15551473.

It is an arithmetic number, because the mean of its divisors is an integer number (725587022448).

Almost surely, 2^{10002000001021} is an apocalyptic number.

It is an amenable number.

10002000001021 is a deficient number, since it is larger than the sum of its proper divisors (1607392358147).

10002000001021 is an equidigital number, since it uses as much as digits as its factorization.

10002000001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30446652.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10002000001021 its reverse (12010000020001), we get a palindrome (22012000021022).

The spelling of 10002000001021 in words is "ten trillion, two billion, one thousand, twenty-one".